The singer and drummer was hospitalised after Wednesday's (18Nov15) gig in Norwich, England after dislocating his shoulder while onstage.
The ailment prompted the duo to cancel a planned gig in Glasgow, Scotland on Thursday night (19Nov15), and now Holman and bandmate Laurie Vincent have been forced to postpone a slew of upcoming concerts.
Slaves are hoping to return to the road next month (Dec15) for their next run of dates, which kicks off in Newcastle, England on 15 December (15).
Taking to the group's Facebook.com page, Holman writes: "Hello everybody. As some of you may know I dislocated my shoulder whilst performing the other night. I went to hospital and they put it back in for me but I am now in a sling and do not have much mobility in my arm.
"The doctor said I can't drum for the next few weeks or there is a good chance it will come out again and cause some serious long term damage. Therefore we are going to have to pull out of the remaining shows of our November UK tour and they will be rescheduled to... January.
"All your tickets will still be valid and we will all have a very nice time together, just not yet. I'm very sorry. Totally gutted but I guess s**t happens doesn't it?"
Vincent still represented Slaves at the Mercury Prize ceremony in London on Friday (20Nov15), when he performed with Wolf Alice drummer Joel Amey filling in for Holman on percussion. Their debut album, Are You Satisfied?, was shortlisted for the award, which ended up going to Benjamin Clementine.